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Finding the Fourth Proportional to 188,251.43, 259,785.95 and 102,209.72

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Solution

The fourth proportional to 188,251.43, 259,785.95 and 102,209.72 is: 141,048.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,251.43 : 259,785.95 = 102,209.72 : x
  2. Step 2: Convert to fraction form
    188,251.43/259,785.95 = 102,209.72/x
  3. Step 3: Cross multiply
    188,251.43x = 259,785.95 × 102,209.72
  4. Step 4: Simplify right side
    188,251.43x = 26,552,647,399.46
  5. Step 5: Solve for x
    x = 26,552,647,399.46/188,251.43
  6. Step 6: Final answer
    x = 141,048.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.